Select the correct answer. which equation is in point-slope form and depicts the equation of this line? a. `(y + 4) = -(1)/(3)(x + 1)` b. `(y −1) = -(1)/(3)(x − 2)` c. `(y−4) = -(5)/(3)(x− 1)` d. `(y+4) = (5)/(3)(x+ 1)`

Answer

D.  `(y+4) = (5)/(3)(x+ 1)`

Step by step explanation

The given points are (-1, -4) and (2, 1)

Slope = (y2 - y1)/(x2 - x1)

= (1 - (-4)) / (2 - (-1))

= (1 + 4) / (2 +1)

m = 5/3

When two points are given, the equation of the line is

(y - y1) = m (x - x1)

y -(-4) = 5/3 (x - (-1))

y + 4 = 5/3 (x + 1)

The answer is (y+4) = (5)/(3)(x+ 1)

Thank you.

answer: 0

step-by-step explanation: the positive, like 5, + its opposite, like -5 would be 0

5+(-5)=0, or 5-5=0